Nonconvex variational problems related to a hyperbolic equation

Authors
Flores-Bazan, F Perrotta, S
Citation
F. Flores-bazan et S. Perrotta, Nonconvex variational problems related to a hyperbolic equation, SIAM J CON, 37(6), 1999, pp. 1751-1766
Citations number
27
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
37
Issue
6
Year of publication
1999
Pages
1751 - 1766
Database
ISI
SICI code
0363-0129(1999)37:6<1751:NVPRTA>2.0.ZU;2-H
Abstract
We first prove a new Lyapunov-type theorem which will yield existence of so lutions to nonconvex minimum problems involving some hyperbolic equations o n rectangular domains with Darboux boundary conditions. Some problems with obstacle and bang-bang results are also considered.